3123121101100 has 576 divisors, whose sum is σ = 9222623714304. Its totient is φ = 886464000000.

The previous prime is 3123121101073. The next prime is 3123121101223. The reversal of 3123121101100 is 11011213213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5469563815 + ... + 5469564385.

It is an arithmetic number, because the mean of its divisors is an integer number (16011499504).

Almost surely, 2^{3123121101100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611311857152).

3123121101100 is an abundant number, since it is smaller than the sum of its proper divisors (6099502613204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3123121101100 is a wasteful number, since it uses less digits than its factorization.

3123121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 3123121101100 its reverse (11011213213), we get a palindrome (3134132314313).

The spelling of 3123121101100 in words is "three trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred one thousand, one hundred".